On uniform Lebesgue constants of local exponential splines with equidistant knots

DOI10.1134/S0081543817020195zbMath1369.41012WikidataQ115526009 ScholiaQ115526009MaRDI QIDQ2362430

E. V. Strelkova, Valerii T. Shevaldin

Publication date: 7 July 2017

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

exponential splinesLebesgue constantslinear differential operator

Mathematics Subject Classification ID

Spline approximation (41A15)

Cites Work

• Orders of approximation by local exponential splines
• Sharp Lebesgue constants for bounded cubic interpolation \(\mathcal L\)-splines
• Exact Lebesgue constants for interpolatory \(\mathbb L\)-splines of third order
• Approximation by local \(\mathbb L\)-splines that are exact on subspaces of the kernel of a differential operator
• \({\mathcal L}\)-splines and widths
• Approximation of a class of differentiable functions by \({\mathcal L}\)- splines
• On the Lebesgue constants for cardinal \({\mathcal L}\)-spline interpolation
• A problem of extremal interpolation
• The Lebesgue constants for cardinal spline interpolation
• Exact bounds for the uniform approximation for continuous periodic functions by r-th order splines
• Approximations by local splines of minimal defect
• Norms in \(L\) of periodic interpolation splines with equidistant nodes.
• Lebesgue Constants for Cardinal -Spline Interpolation
• Asymptotic behaviour of the Lebesgue constants of periodic interpolation splines with equidistant nodes
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